Information on Result #1567613
Linear OOA(25657, 65827, F256, 3, 23) (dual of [(65827, 3), 197424, 24]-NRT-code), using embedding of OOA with Gilbert–Varšamov bound based on linear OA(25657, 65827, F256, 23) (dual of [65827, 65770, 24]-code), using
- (u, u+v)-construction [i] based on
- linear OA(25612, 289, F256, 11) (dual of [289, 277, 12]-code), using
- extended algebraic-geometric code AGe(F,277P) [i] based on function field F/F256 with g(F) = 1 and N(F) ≥ 289, using
- linear OA(25645, 65538, F256, 23) (dual of [65538, 65493, 24]-code), using
- construction X applied to Ce(22) ⊂ Ce(21) [i] based on
- linear OA(25645, 65536, F256, 23) (dual of [65536, 65491, 24]-code), using an extension Ce(22) of the primitive narrow-sense BCH-code C(I) with length 65535 = 2562−1, defining interval I = [1,22], and designed minimum distance d ≥ |I|+1 = 23 [i]
- linear OA(25643, 65536, F256, 22) (dual of [65536, 65493, 23]-code), using an extension Ce(21) of the primitive narrow-sense BCH-code C(I) with length 65535 = 2562−1, defining interval I = [1,21], and designed minimum distance d ≥ |I|+1 = 22 [i]
- linear OA(2560, 2, F256, 0) (dual of [2, 2, 1]-code), using
- discarding factors / shortening the dual code based on linear OA(2560, s, F256, 0) (dual of [s, s, 1]-code) for arbitrarily large s, using
- construction X applied to Ce(22) ⊂ Ce(21) [i] based on
- linear OA(25612, 289, F256, 11) (dual of [289, 277, 12]-code), using
Mode: Linear.
Optimality
Show details for fixed k and m, n and k, k and s, k and t, n and m, m and s, m and t, n and s, n and t.
Other Results with Identical Parameters
None.
Depending Results
The following results depend on this result:
| Result | This result only | Method | ||
|---|---|---|---|---|
| 1 | Linear OOA(25657, 32913, F256, 5, 23) (dual of [(32913, 5), 164508, 24]-NRT-code) | [i] | OOA Folding | |
| 2 | Linear OOA(25657, 32913, F256, 6, 23) (dual of [(32913, 6), 197421, 24]-NRT-code) | [i] | ||